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Finding the Third Proportional to 346,750 and 720,992

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Solution

The third proportional to 346,750 and 720,992 is: 1,499,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,750 : 720,992 = 720,992 : x
  2. Step 2: Convert to fraction form
    346,750/720,992 = 720,992/x
  3. Step 3: Cross multiply
    346,750x = 720,992 × 720,992
  4. Step 4: Simplify right side
    346,750x = 519,829,464,064
  5. Step 5: Solve for x
    x = 519,829,464,064/346,750
  6. Step 6: Final answer
    x = 1,499,147.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.